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Finding the Fourth Proportional to 2,330.08, 3,509.08 and 2,101.92

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Solution

The fourth proportional to 2,330.08, 3,509.08 and 2,101.92 is: 3,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.08 : 3,509.08 = 2,101.92 : x
  2. Step 2: Convert to fraction form
    2,330.08/3,509.08 = 2,101.92/x
  3. Step 3: Cross multiply
    2,330.08x = 3,509.08 × 2,101.92
  4. Step 4: Simplify right side
    2,330.08x = 7,375,805.43
  5. Step 5: Solve for x
    x = 7,375,805.43/2,330.08
  6. Step 6: Final answer
    x = 3,165.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.